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A bakery sells cakes, cookies, and pastries. They wonder if customers are equally likely to buy each product
They take a sample of 200 recent purchases and record what was purchased (they are willing to treat this as
a random sample). Here are the results:
Product
Observed purchases
Cakes
65
Cookies Pastries
68
67
They want to perform a x' goodness-of-fit test to determine if these results suggest that one type of
product is more popular than the others.
What is the expected count of cake purchases?
You may round your answer to the nearest hundredth.
Expected:


Sagot :

Answer: The expected count of cake purchases is 66.67 (rounded to the hundreths).

Step-by-step explanation:  Hypothesis the bakery is trying to find is if customers are equally likely to buy each product and since the sample is 200, we would have to equally split that between the 3 categories, so the expected counts for Cakes, cookies, and pastries would all be 66.67 (rounded to the hundreths).

The expected count of cake purchases would be 66.67 (rounded to the hundredths).

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The results are given as:

Product   Observed purchases

Cakes        65

Cookies    68

Pastries     67

To find if customers are equally likely to buy each product and since the sample is 200,

we would have to equally split that between the 3 categories,

The expected count of cake purchases = 200/3

= 66.67

Thus, the expected counts for Cakes, cookies, and pastries would be 66.67 (rounded to the hundredths).

Learn more about the unitary method;

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